Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 363, 838, 712, 164 i.e. 1 largest integer that divides all the numbers equally.
GCD of 363, 838, 712, 164 is 1
GCD(363, 838, 712, 164) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 363, 838, 712, 164 is 1
GCD(363, 838, 712, 164) = 1
Given Input numbers are 363, 838, 712, 164
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 363
List of positive integer divisors of 363 that divides 363 without a remainder.
1, 3, 11, 33, 121, 363
Divisors of 838
List of positive integer divisors of 838 that divides 838 without a remainder.
1, 2, 419, 838
Divisors of 712
List of positive integer divisors of 712 that divides 712 without a remainder.
1, 2, 4, 8, 89, 178, 356, 712
Divisors of 164
List of positive integer divisors of 164 that divides 164 without a remainder.
1, 2, 4, 41, 82, 164
Greatest Common Divisior
We found the divisors of 363, 838, 712, 164 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 838, 712, 164 is 1.
Therefore, GCD of numbers 363, 838, 712, 164 is 1
Given Input Data is 363, 838, 712, 164
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 363 is 3 x 11 x 11
Prime Factorization of 838 is 2 x 419
Prime Factorization of 712 is 2 x 2 x 2 x 89
Prime Factorization of 164 is 2 x 2 x 41
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(363, 838) = 304194
GCD(363, 838) = ( 363 x 838 ) / 304194
GCD(363, 838) = 304194 / 304194
GCD(363, 838) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 712
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 712) = 712
GCD(1, 712) = ( 1 x 712 ) / 712
GCD(1, 712) = 712 / 712
GCD(1, 712) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 164
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 164) = 164
GCD(1, 164) = ( 1 x 164 ) / 164
GCD(1, 164) = 164 / 164
GCD(1, 164) = 1
GCD of 363, 838, 712, 164 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 363, 838, 712, 164?
GCD of 363, 838, 712, 164 is 1
2. Where do I get the detailed procedure to find GCD of 363, 838, 712, 164?
You can find a detailed procedure to find GCD of 363, 838, 712, 164 on our page.
3. How to find GCD of 363, 838, 712, 164 on a calculator?
You can find the GCD of 363, 838, 712, 164 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.